| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
Simplify \( \sqrt{63} \)
| 6\( \sqrt{14} \) | |
| 4\( \sqrt{14} \) | |
| 9\( \sqrt{7} \) | |
| 3\( \sqrt{7} \) |
To simplify a radical, factor out the perfect squares:
\( \sqrt{63} \)
\( \sqrt{9 \times 7} \)
\( \sqrt{3^2 \times 7} \)
3\( \sqrt{7} \)
What is (b5)5?
| b0 | |
| b25 | |
| 5b5 | |
| b10 |
To raise a term with an exponent to another exponent, retain the base and multiply the exponents:
(b5)5What is the distance in miles of a trip that takes 7 hours at an average speed of 25 miles per hour?
| 420 miles | |
| 175 miles | |
| 15 miles | |
| 350 miles |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for distance:
distance = \( \text{speed} \times \text{time} \)
distance = \( 25mph \times 7h \)
175 miles
A tiger in a zoo has consumed 72 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 108 pounds?
| 6 | |
| 9 | |
| 3 | |
| 4 |
If the tiger has consumed 72 pounds of food in 6 days that's \( \frac{72}{6} \) = 12 pounds of food per day. The tiger needs to consume 108 - 72 = 36 more pounds of food to reach 108 pounds total. At 12 pounds of food per day that's \( \frac{36}{12} \) = 3 more days.
Latoya scored 90% on her final exam. If each question was worth 2 points and there were 200 possible points on the exam, how many questions did Latoya answer correctly?
| 93 | |
| 104 | |
| 90 | |
| 99 |
Latoya scored 90% on the test meaning she earned 90% of the possible points on the test. There were 200 possible points on the test so she earned 200 x 0.9 = 180 points. Each question is worth 2 points so she got \( \frac{180}{2} \) = 90 questions right.